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Finding the Fourth Proportional to 103.70, 143.78 and 98.23

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Solution

The fourth proportional to 103.70, 143.78 and 98.23 is: 136.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.70 : 143.78 = 98.23 : x
  2. Step 2: Convert to fraction form
    103.70/143.78 = 98.23/x
  3. Step 3: Cross multiply
    103.70x = 143.78 × 98.23
  4. Step 4: Simplify right side
    103.70x = 14,123.51
  5. Step 5: Solve for x
    x = 14,123.51/103.70
  6. Step 6: Final answer
    x = 136.20

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.